Abstract

We analytically study the optomechanically induced transparency (OMIT) in the N-cavity system with the Nth cavity driven by pump, probing laser fields and the 1st cavity coupled to mechanical oscillator. We also consider that one atom could be trapped in the ith cavity. Instead of only illustrating the OMIT in such a system, we are interested in how the number of OMIT windows is influenced by the cavities and the atom and what roles the atom could play in different cavities. In the resolved sideband regime, we find that, the number of cavities precisely determines the maximal number of OMIT windows. It is interesting that, when the two-level atom is trapped in the even-labeled cavity, the central absorptive peak (odd N) or dip (even N) is split and forms an extra OMIT window, but if the atom is trapped in the odd-labeled cavity, the central absorptive peak (odd N) or dip (even N) is only broadened and thus changes the width of the OMIT windows rather than induces an extra window.

Highlights

  • Cavity optomechanical system (OMS) has recently attracted increasing interest in both theory and experiment

  • It is shown46 that a two-level atomic ensemble coupled to OMS can both enhance the photon-phonon coupling through radiation pressure and broaden the transparency windows

  • We address the above questions by investigating the optomechanically induced transparency (OMIT) phenomenon in multiple-cavity optomechanical system coupled to one two-level atom

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Summary

Introduction

Cavity optomechanical system (OMS) has recently attracted increasing interest in both theory and experiment (ref. 1 and references therein). It usually composed of two mirrors with one fixed and the other movable or a micro-mechanical membrane oscillating inside two fixed mirrors Such a system demonstrates the interaction between the movable oscillator and the optical field in the cavity via the radiation pressure and becomes a platform for the study of quantum ground-state cooling, strong coupling dynamics and other coherent dynamics in microscopic and macroscopic domains. It has been applied to improve optomechanical cooling and even the ground-state cooling outside the resolved sideband regime45 It is shown that a two-level atomic ensemble coupled to OMS can both enhance the photon-phonon coupling through radiation pressure and broaden the transparency windows. A numerical simulation is given to support our results

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